Abstract
The stability problem in cosmology is studied using the equations of geodesic deviation. General conditions for stability are obtained. The method is applied to a number of cosmological models, resulting from different field theories. The results are compared with those obtained from FRW-models.
Similar content being viewed by others
References
Bazanski, L. (1989) J. Math. Phys.30, 8.
Logunov, A.A., and Mestvirishvili, M.A. (1989) “The Relativistic Theory Of Gravitation” Moscow Mir Pub.
Linde, A.D. (1990) “Inflation and Quantum Cosmology”, Ap-Pup.
Mikhail, F. I., and Wanas, M. I. (1977) Proc. Roy. Soc. A.,356, 471.
Møller, C. (1978), Mat. Fys. Skr. Dan. Vid. Selsk.,39, 13,1.
McVittie, G.C. (1961) “Fact and Theory of Cosmology”, Eyre & Spittswoode, London.
Robertson, H.P. (1932), Ann. Math. Princeton,33, 496.
Sciama, D.W. (1971) “Modern Cosmology”, Cambridge, London.
Seaz, D., and de-Juan, T. (1984), GRG,16, 5.
Tolman, R.C. (1934). “Relativity Thermodynamics and Cosmology”, Oxford univ. Press, London.
Wanas, M.I. (1989) Astrophys. Space Sci.,154, 165.
Weinberg, S. (1972) “Gravitation and Cosmology”, John Wiley & Sons.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wanas, M.I., Bakry, M.A. Stability of cosmological models. Astrophys Space Sci 228, 239–253 (1995). https://doi.org/10.1007/BF00984978
Issue Date:
DOI: https://doi.org/10.1007/BF00984978